Let n1(t) and n2(t) be two independent poisson processes with rates λ1 = 1 and λ2 = 2, respectively. let n(t) be the merge process n(t)=n1(t)+n2(t). find the probability that n(1)=2 and n(2)=5.

Ben frank is an electrician who installs lighting fixtures. he charges (in dollars) his clients 15h+40f15h+40f where hh is the number of hours worked and ff is the number of fixtures installed. how much does ben frank charge when he works 77 hours and installs 99 fixtures?